Thermal Stresses in a Nonhomogeneous Semi-Infinite Elastic Solid under Steady Distribution of Temperature

Abstract

The principal aim of this paper is to investigate the thermoelastic problems in a nonhomogeneous semi-infinite elastic solid whose shear modulus increases with its depth according to relation μ₀Z^α(μ₀ and α are constants). The solution of the problem is determined by using two kinds of displacement functions. In this paper, the case αν=1-2ν, ν=Poisson's ratio, corresponding to an alloy made in a process of binary diffusion coupled with a large concentration gradient is discussed in detail. Numerical results are presented for the thermal stress distribution in a nonhomogeneous semi-infinite elastic solid with surface radiation.